Question

Represent 0.1454545... in the form of p/q

Answer 1

ANSWER

Let x= 0.1454545 (equation 1)

let 10x= 1.454545  (equation 2)

let 1000x =145.4545 (equation 3)

SUBTRACT equation 3 - equation

1000x - 10x = 145.4545........ - 1.4545.....

         990x = 144

         x = 144/990

           = 8/55

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